Finding the Third Proportional to 85,068 and 198,697.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,068 : 198,697.50 = 198,697.50 : x
2. Step 2: Convert to fraction form
   85,068/198,697.50 = 198,697.50/x
3. Step 3: Cross multiply
   85,068x = 198,697.50 × 198,697.50
4. Step 4: Simplify right side
   85,068x = 39,480,696,506.25
5. Step 5: Solve for x
   x = 39,480,696,506.25/85,068
6. Step 6: Final answer
   x = 464,107.50