Finding the Third Proportional to 42,624 and 89,740.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,624 : 89,740.50 = 89,740.50 : x
2. Step 2: Convert to fraction form
   42,624/89,740.50 = 89,740.50/x
3. Step 3: Cross multiply
   42,624x = 89,740.50 × 89,740.50
4. Step 4: Simplify right side
   42,624x = 8,053,357,340.25
5. Step 5: Solve for x
   x = 8,053,357,340.25/42,624
6. Step 6: Final answer
   x = 188,939.50