Finding the Third Proportional to 238,147.50 and 509,047.50

Step by Step Solution

1. Step 1: Write the proportion equation
   238,147.50 : 509,047.50 = 509,047.50 : x
2. Step 2: Convert to fraction form
   238,147.50/509,047.50 = 509,047.50/x
3. Step 3: Cross multiply
   238,147.50x = 509,047.50 × 509,047.50
4. Step 4: Simplify right side
   238,147.50x = 259,129,357,256.25
5. Step 5: Solve for x
   x = 259,129,357,256.25/238,147.50
6. Step 6: Final answer
   x = 1,088,104.46