Finding the Third Proportional to 147,616.75 and 208,017.50

Step by Step Solution

1. Step 1: Write the proportion equation
   147,616.75 : 208,017.50 = 208,017.50 : x
2. Step 2: Convert to fraction form
   147,616.75/208,017.50 = 208,017.50/x
3. Step 3: Cross multiply
   147,616.75x = 208,017.50 × 208,017.50
4. Step 4: Simplify right side
   147,616.75x = 43,271,280,306.25
5. Step 5: Solve for x
   x = 43,271,280,306.25/147,616.75
6. Step 6: Final answer
   x = 293,132.59