Finding the Third Proportional to 77,022 and 114,403.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,022 : 114,403.50 = 114,403.50 : x
2. Step 2: Convert to fraction form
   77,022/114,403.50 = 114,403.50/x
3. Step 3: Cross multiply
   77,022x = 114,403.50 × 114,403.50
4. Step 4: Simplify right side
   77,022x = 13,088,160,812.25
5. Step 5: Solve for x
   x = 13,088,160,812.25/77,022
6. Step 6: Final answer
   x = 169,927.56