Finding the Third Proportional to 77,961.50 and 114,026

Step by Step Solution

1. Step 1: Write the proportion equation
   77,961.50 : 114,026 = 114,026 : x
2. Step 2: Convert to fraction form
   77,961.50/114,026 = 114,026/x
3. Step 3: Cross multiply
   77,961.50x = 114,026 × 114,026
4. Step 4: Simplify right side
   77,961.50x = 13,001,928,676
5. Step 5: Solve for x
   x = 13,001,928,676/77,961.50
6. Step 6: Final answer
   x = 166,773.71