Finding the Third Proportional to 77,422.50 and 113,146.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,422.50 : 113,146.50 = 113,146.50 : x
2. Step 2: Convert to fraction form
   77,422.50/113,146.50 = 113,146.50/x
3. Step 3: Cross multiply
   77,422.50x = 113,146.50 × 113,146.50
4. Step 4: Simplify right side
   77,422.50x = 12,802,130,462.25
5. Step 5: Solve for x
   x = 12,802,130,462.25/77,422.50
6. Step 6: Final answer
   x = 165,354.13