Finding the Third Proportional to 99,924 and 209,083.50

Step by Step Solution

1. Step 1: Write the proportion equation
   99,924 : 209,083.50 = 209,083.50 : x
2. Step 2: Convert to fraction form
   99,924/209,083.50 = 209,083.50/x
3. Step 3: Cross multiply
   99,924x = 209,083.50 × 209,083.50
4. Step 4: Simplify right side
   99,924x = 43,715,909,972.25
5. Step 5: Solve for x
   x = 43,715,909,972.25/99,924
6. Step 6: Final answer
   x = 437,491.59