Finding the Third Proportional to 37,746,769.50 and 82,558,602

Step by Step Solution

1. Step 1: Write the proportion equation
   37,746,769.50 : 82,558,602 = 82,558,602 : x
2. Step 2: Convert to fraction form
   37,746,769.50/82,558,602 = 82,558,602/x
3. Step 3: Cross multiply
   37,746,769.50x = 82,558,602 × 82,558,602
4. Step 4: Simplify right side
   37,746,769.50x = 6,815,922,764,194,404
5. Step 5: Solve for x
   x = 6,815,922,764,194,404/37,746,769.50
6. Step 6: Final answer
   x = 180,569,697.87