Finding the Third Proportional to 94,829 and 142,495.50

Step by Step Solution

1. Step 1: Write the proportion equation
   94,829 : 142,495.50 = 142,495.50 : x
2. Step 2: Convert to fraction form
   94,829/142,495.50 = 142,495.50/x
3. Step 3: Cross multiply
   94,829x = 142,495.50 × 142,495.50
4. Step 4: Simplify right side
   94,829x = 20,304,967,520.25
5. Step 5: Solve for x
   x = 20,304,967,520.25/94,829
6. Step 6: Final answer
   x = 214,121.92