Finding the Third Proportional to 78,666.38 and 117,972.56

Step by Step Solution

1. Step 1: Write the proportion equation
   78,666.38 : 117,972.56 = 117,972.56 : x
2. Step 2: Convert to fraction form
   78,666.38/117,972.56 = 117,972.56/x
3. Step 3: Cross multiply
   78,666.38x = 117,972.56 × 117,972.56
4. Step 4: Simplify right side
   78,666.38x = 13,917,525,502.82
5. Step 5: Solve for x
   x = 13,917,525,502.82/78,666.38
6. Step 6: Final answer
   x = 176,918.35