Finding the Third Proportional to 120,132 and 278,077.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,132 : 278,077.50 = 278,077.50 : x
2. Step 2: Convert to fraction form
   120,132/278,077.50 = 278,077.50/x
3. Step 3: Cross multiply
   120,132x = 278,077.50 × 278,077.50
4. Step 4: Simplify right side
   120,132x = 77,327,096,006.25
5. Step 5: Solve for x
   x = 77,327,096,006.25/120,132
6. Step 6: Final answer
   x = 643,684.41