Finding the Third Proportional to 137,314 and 207,907.50

Step by Step Solution

1. Step 1: Write the proportion equation
   137,314 : 207,907.50 = 207,907.50 : x
2. Step 2: Convert to fraction form
   137,314/207,907.50 = 207,907.50/x
3. Step 3: Cross multiply
   137,314x = 207,907.50 × 207,907.50
4. Step 4: Simplify right side
   137,314x = 43,225,528,556.25
5. Step 5: Solve for x
   x = 43,225,528,556.25/137,314
6. Step 6: Final answer
   x = 314,793.31