Finding the Third Proportional to 116,369 and 177,937.75

Step by Step Solution

1. Step 1: Write the proportion equation
   116,369 : 177,937.75 = 177,937.75 : x
2. Step 2: Convert to fraction form
   116,369/177,937.75 = 177,937.75/x
3. Step 3: Cross multiply
   116,369x = 177,937.75 × 177,937.75
4. Step 4: Simplify right side
   116,369x = 31,661,842,875.06
5. Step 5: Solve for x
   x = 31,661,842,875.06/116,369
6. Step 6: Final answer
   x = 272,081.42