Finding the Third Proportional to 114,729 and 161,275.50

Step by Step Solution

1. Step 1: Write the proportion equation
   114,729 : 161,275.50 = 161,275.50 : x
2. Step 2: Convert to fraction form
   114,729/161,275.50 = 161,275.50/x
3. Step 3: Cross multiply
   114,729x = 161,275.50 × 161,275.50
4. Step 4: Simplify right side
   114,729x = 26,009,786,900.25
5. Step 5: Solve for x
   x = 26,009,786,900.25/114,729
6. Step 6: Final answer
   x = 226,706.30