Finding the Third Proportional to 153,657 and 207,139.50

Step by Step Solution

1. Step 1: Write the proportion equation
   153,657 : 207,139.50 = 207,139.50 : x
2. Step 2: Convert to fraction form
   153,657/207,139.50 = 207,139.50/x
3. Step 3: Cross multiply
   153,657x = 207,139.50 × 207,139.50
4. Step 4: Simplify right side
   153,657x = 42,906,772,460.25
5. Step 5: Solve for x
   x = 42,906,772,460.25/153,657
6. Step 6: Final answer
   x = 279,237.34