Finding the Third Proportional to 148,761 and 208,069.50

Step by Step Solution

1. Step 1: Write the proportion equation
   148,761 : 208,069.50 = 208,069.50 : x
2. Step 2: Convert to fraction form
   148,761/208,069.50 = 208,069.50/x
3. Step 3: Cross multiply
   148,761x = 208,069.50 × 208,069.50
4. Step 4: Simplify right side
   148,761x = 43,292,916,830.25
5. Step 5: Solve for x
   x = 43,292,916,830.25/148,761
6. Step 6: Final answer
   x = 291,023.30