Finding the Third Proportional to 116,417.38 and 177,967.31

Step by Step Solution

1. Step 1: Write the proportion equation
   116,417.38 : 177,967.31 = 177,967.31 : x
2. Step 2: Convert to fraction form
   116,417.38/177,967.31 = 177,967.31/x
3. Step 3: Cross multiply
   116,417.38x = 177,967.31 × 177,967.31
4. Step 4: Simplify right side
   116,417.38x = 31,672,364,318.47
5. Step 5: Solve for x
   x = 31,672,364,318.47/116,417.38
6. Step 6: Final answer
   x = 272,058.74