Finding the Third Proportional to 99,205.31 and 208,238.63

Step by Step Solution

1. Step 1: Write the proportion equation
   99,205.31 : 208,238.63 = 208,238.63 : x
2. Step 2: Convert to fraction form
   99,205.31/208,238.63 = 208,238.63/x
3. Step 3: Cross multiply
   99,205.31x = 208,238.63 × 208,238.63
4. Step 4: Simplify right side
   99,205.31x = 43,363,324,941.89
5. Step 5: Solve for x
   x = 43,363,324,941.89/99,205.31
6. Step 6: Final answer
   x = 437,106.88