Finding the Third Proportional to 116,372 and 177,942.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,372 : 177,942.50 = 177,942.50 : x
2. Step 2: Convert to fraction form
   116,372/177,942.50 = 177,942.50/x
3. Step 3: Cross multiply
   116,372x = 177,942.50 × 177,942.50
4. Step 4: Simplify right side
   116,372x = 31,663,533,306.25
5. Step 5: Solve for x
   x = 31,663,533,306.25/116,372
6. Step 6: Final answer
   x = 272,088.93