Finding the Third Proportional to 148,801 and 208,577.50

Step by Step Solution

1. Step 1: Write the proportion equation
   148,801 : 208,577.50 = 208,577.50 : x
2. Step 2: Convert to fraction form
   148,801/208,577.50 = 208,577.50/x
3. Step 3: Cross multiply
   148,801x = 208,577.50 × 208,577.50
4. Step 4: Simplify right side
   148,801x = 43,504,573,506.25
5. Step 5: Solve for x
   x = 43,504,573,506.25/148,801
6. Step 6: Final answer
   x = 292,367.48