Finding the Third Proportional to 415,081.50 and 634,666.50

Step by Step Solution

1. Step 1: Write the proportion equation
   415,081.50 : 634,666.50 = 634,666.50 : x
2. Step 2: Convert to fraction form
   415,081.50/634,666.50 = 634,666.50/x
3. Step 3: Cross multiply
   415,081.50x = 634,666.50 × 634,666.50
4. Step 4: Simplify right side
   415,081.50x = 402,801,566,222.25
5. Step 5: Solve for x
   x = 402,801,566,222.25/415,081.50
6. Step 6: Final answer
   x = 970,415.61