Finding the Third Proportional to 138,905.50 and 207,443.25

Step by Step Solution

1. Step 1: Write the proportion equation
   138,905.50 : 207,443.25 = 207,443.25 : x
2. Step 2: Convert to fraction form
   138,905.50/207,443.25 = 207,443.25/x
3. Step 3: Cross multiply
   138,905.50x = 207,443.25 × 207,443.25
4. Step 4: Simplify right side
   138,905.50x = 43,032,701,970.56
5. Step 5: Solve for x
   x = 43,032,701,970.56/138,905.50
6. Step 6: Final answer
   x = 309,798.40