Finding the Third Proportional to 114,089.50 and 176,662.50

Step by Step Solution

1. Step 1: Write the proportion equation
   114,089.50 : 176,662.50 = 176,662.50 : x
2. Step 2: Convert to fraction form
   114,089.50/176,662.50 = 176,662.50/x
3. Step 3: Cross multiply
   114,089.50x = 176,662.50 × 176,662.50
4. Step 4: Simplify right side
   114,089.50x = 31,209,638,906.25
5. Step 5: Solve for x
   x = 31,209,638,906.25/114,089.50
6. Step 6: Final answer
   x = 273,554.00