Finding the Third Proportional to 252,748 and 380,144

Step by Step Solution

1. Step 1: Write the proportion equation
   252,748 : 380,144 = 380,144 : x
2. Step 2: Convert to fraction form
   252,748/380,144 = 380,144/x
3. Step 3: Cross multiply
   252,748x = 380,144 × 380,144
4. Step 4: Simplify right side
   252,748x = 144,509,460,736
5. Step 5: Solve for x
   x = 144,509,460,736/252,748
6. Step 6: Final answer
   x = 571,753.13