Finding the Third Proportional to 67,854 and 99,748.50

Step by Step Solution

1. Step 1: Write the proportion equation
   67,854 : 99,748.50 = 99,748.50 : x
2. Step 2: Convert to fraction form
   67,854/99,748.50 = 99,748.50/x
3. Step 3: Cross multiply
   67,854x = 99,748.50 × 99,748.50
4. Step 4: Simplify right side
   67,854x = 9,949,763,252.25
5. Step 5: Solve for x
   x = 9,949,763,252.25/67,854
6. Step 6: Final answer
   x = 146,634.88