Finding the Third Proportional to 412,902 and 611,677.50

Step by Step Solution

1. Step 1: Write the proportion equation
   412,902 : 611,677.50 = 611,677.50 : x
2. Step 2: Convert to fraction form
   412,902/611,677.50 = 611,677.50/x
3. Step 3: Cross multiply
   412,902x = 611,677.50 × 611,677.50
4. Step 4: Simplify right side
   412,902x = 374,149,364,006.25
5. Step 5: Solve for x
   x = 374,149,364,006.25/412,902
6. Step 6: Final answer
   x = 906,145.68