Finding the Third Proportional to 175,526 and 251,005

Step by Step Solution

1. Step 1: Write the proportion equation
   175,526 : 251,005 = 251,005 : x
2. Step 2: Convert to fraction form
   175,526/251,005 = 251,005/x
3. Step 3: Cross multiply
   175,526x = 251,005 × 251,005
4. Step 4: Simplify right side
   175,526x = 63,003,510,025
5. Step 5: Solve for x
   x = 63,003,510,025/175,526
6. Step 6: Final answer
   x = 358,941.18