Finding the Third Proportional to 115,695.50 and 174,776

Step by Step Solution

1. Step 1: Write the proportion equation
   115,695.50 : 174,776 = 174,776 : x
2. Step 2: Convert to fraction form
   115,695.50/174,776 = 174,776/x
3. Step 3: Cross multiply
   115,695.50x = 174,776 × 174,776
4. Step 4: Simplify right side
   115,695.50x = 30,546,650,176
5. Step 5: Solve for x
   x = 30,546,650,176/115,695.50
6. Step 6: Final answer
   x = 264,026.26