Finding the Third Proportional to 120,126 and 278,062.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,126 : 278,062.50 = 278,062.50 : x
2. Step 2: Convert to fraction form
   120,126/278,062.50 = 278,062.50/x
3. Step 3: Cross multiply
   120,126x = 278,062.50 × 278,062.50
4. Step 4: Simplify right side
   120,126x = 77,318,753,906.25
5. Step 5: Solve for x
   x = 77,318,753,906.25/120,126
6. Step 6: Final answer
   x = 643,647.12