Finding the Third Proportional to 115,688 and 253,534.50

Step by Step Solution

1. Step 1: Write the proportion equation
   115,688 : 253,534.50 = 253,534.50 : x
2. Step 2: Convert to fraction form
   115,688/253,534.50 = 253,534.50/x
3. Step 3: Cross multiply
   115,688x = 253,534.50 × 253,534.50
4. Step 4: Simplify right side
   115,688x = 64,279,742,690.25
5. Step 5: Solve for x
   x = 64,279,742,690.25/115,688
6. Step 6: Final answer
   x = 555,630.17