Finding the Third Proportional to 138,300.75 and 206,566.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,300.75 : 206,566.50 = 206,566.50 : x
2. Step 2: Convert to fraction form
   138,300.75/206,566.50 = 206,566.50/x
3. Step 3: Cross multiply
   138,300.75x = 206,566.50 × 206,566.50
4. Step 4: Simplify right side
   138,300.75x = 42,669,718,922.25
5. Step 5: Solve for x
   x = 42,669,718,922.25/138,300.75
6. Step 6: Final answer
   x = 308,528.47