Finding the Third Proportional to 238,143.80 and 509,041.34

Step by Step Solution

1. Step 1: Write the proportion equation
   238,143.80 : 509,041.34 = 509,041.34 : x
2. Step 2: Convert to fraction form
   238,143.80/509,041.34 = 509,041.34/x
3. Step 3: Cross multiply
   238,143.80x = 509,041.34 × 509,041.34
4. Step 4: Simplify right side
   238,143.80x = 259,123,081,693.04
5. Step 5: Solve for x
   x = 259,123,081,693.04/238,143.80
6. Step 6: Final answer
   x = 1,088,095.03