Finding the Third Proportional to 175,267.50 and 380,059.50

Step by Step Solution

1. Step 1: Write the proportion equation
   175,267.50 : 380,059.50 = 380,059.50 : x
2. Step 2: Convert to fraction form
   175,267.50/380,059.50 = 380,059.50/x
3. Step 3: Cross multiply
   175,267.50x = 380,059.50 × 380,059.50
4. Step 4: Simplify right side
   175,267.50x = 144,445,223,540.25
5. Step 5: Solve for x
   x = 144,445,223,540.25/175,267.50
6. Step 6: Final answer
   x = 824,141.52