Finding the Third Proportional to 99,840 and 150,166.50

Step by Step Solution

1. Step 1: Write the proportion equation
   99,840 : 150,166.50 = 150,166.50 : x
2. Step 2: Convert to fraction form
   99,840/150,166.50 = 150,166.50/x
3. Step 3: Cross multiply
   99,840x = 150,166.50 × 150,166.50
4. Step 4: Simplify right side
   99,840x = 22,549,977,722.25
5. Step 5: Solve for x
   x = 22,549,977,722.25/99,840
6. Step 6: Final answer
   x = 225,861.16