Finding the Third Proportional to 71,643 and 110,758.50

Step by Step Solution

1. Step 1: Write the proportion equation
   71,643 : 110,758.50 = 110,758.50 : x
2. Step 2: Convert to fraction form
   71,643/110,758.50 = 110,758.50/x
3. Step 3: Cross multiply
   71,643x = 110,758.50 × 110,758.50
4. Step 4: Simplify right side
   71,643x = 12,267,445,322.25
5. Step 5: Solve for x
   x = 12,267,445,322.25/71,643
6. Step 6: Final answer
   x = 171,230.20