Finding the Third Proportional to 99,906.75 and 209,047.50

Step by Step Solution

1. Step 1: Write the proportion equation
   99,906.75 : 209,047.50 = 209,047.50 : x
2. Step 2: Convert to fraction form
   99,906.75/209,047.50 = 209,047.50/x
3. Step 3: Cross multiply
   99,906.75x = 209,047.50 × 209,047.50
4. Step 4: Simplify right side
   99,906.75x = 43,700,857,256.25
5. Step 5: Solve for x
   x = 43,700,857,256.25/99,906.75
6. Step 6: Final answer
   x = 437,416.46