Finding the Third Proportional to 175,266 and 380,056.50

Step by Step Solution

1. Step 1: Write the proportion equation
   175,266 : 380,056.50 = 380,056.50 : x
2. Step 2: Convert to fraction form
   175,266/380,056.50 = 380,056.50/x
3. Step 3: Cross multiply
   175,266x = 380,056.50 × 380,056.50
4. Step 4: Simplify right side
   175,266x = 144,442,943,192.25
5. Step 5: Solve for x
   x = 144,442,943,192.25/175,266
6. Step 6: Final answer
   x = 824,135.56