Finding the Third Proportional to 77,120 and 115,043.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,120 : 115,043.50 = 115,043.50 : x
2. Step 2: Convert to fraction form
   77,120/115,043.50 = 115,043.50/x
3. Step 3: Cross multiply
   77,120x = 115,043.50 × 115,043.50
4. Step 4: Simplify right side
   77,120x = 13,235,006,892.25
5. Step 5: Solve for x
   x = 13,235,006,892.25/77,120
6. Step 6: Final answer
   x = 171,615.75