Finding the Third Proportional to 71,646 and 152,799.75

Step by Step Solution

1. Step 1: Write the proportion equation
   71,646 : 152,799.75 = 152,799.75 : x
2. Step 2: Convert to fraction form
   71,646/152,799.75 = 152,799.75/x
3. Step 3: Cross multiply
   71,646x = 152,799.75 × 152,799.75
4. Step 4: Simplify right side
   71,646x = 23,347,763,600.06
5. Step 5: Solve for x
   x = 23,347,763,600.06/71,646
6. Step 6: Final answer
   x = 325,876.72