Finding the Third Proportional to 138,594 and 209,140.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,594 : 209,140.50 = 209,140.50 : x
2. Step 2: Convert to fraction form
   138,594/209,140.50 = 209,140.50/x
3. Step 3: Cross multiply
   138,594x = 209,140.50 × 209,140.50
4. Step 4: Simplify right side
   138,594x = 43,739,748,740.25
5. Step 5: Solve for x
   x = 43,739,748,740.25/138,594
6. Step 6: Final answer
   x = 315,596.26