Finding the Third Proportional to 65,071.50 and 142,599

Step by Step Solution

1. Step 1: Write the proportion equation
   65,071.50 : 142,599 = 142,599 : x
2. Step 2: Convert to fraction form
   65,071.50/142,599 = 142,599/x
3. Step 3: Cross multiply
   65,071.50x = 142,599 × 142,599
4. Step 4: Simplify right side
   65,071.50x = 20,334,474,801
5. Step 5: Solve for x
   x = 20,334,474,801/65,071.50
6. Step 6: Final answer
   x = 312,494.33