Finding the Third Proportional to 37,740,907.50 and 82,547,998.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,740,907.50 : 82,547,998.50 = 82,547,998.50 : x
2. Step 2: Convert to fraction form
   37,740,907.50/82,547,998.50 = 82,547,998.50/x
3. Step 3: Cross multiply
   37,740,907.50x = 82,547,998.50 × 82,547,998.50
4. Step 4: Simplify right side
   37,740,907.50x = 6,814,172,056,356,002
5. Step 5: Solve for x
   x = 6,814,172,056,356,002/37,740,907.50
6. Step 6: Final answer
   x = 180,551,356.81