Finding the Third Proportional to 45,769 and 99,150.50

Step by Step Solution

1. Step 1: Write the proportion equation
   45,769 : 99,150.50 = 99,150.50 : x
2. Step 2: Convert to fraction form
   45,769/99,150.50 = 99,150.50/x
3. Step 3: Cross multiply
   45,769x = 99,150.50 × 99,150.50
4. Step 4: Simplify right side
   45,769x = 9,830,821,650.25
5. Step 5: Solve for x
   x = 9,830,821,650.25/45,769
6. Step 6: Final answer
   x = 214,792.14