Finding the Third Proportional to 152,142 and 236,506

Step by Step Solution

1. Step 1: Write the proportion equation
   152,142 : 236,506 = 236,506 : x
2. Step 2: Convert to fraction form
   152,142/236,506 = 236,506/x
3. Step 3: Cross multiply
   152,142x = 236,506 × 236,506
4. Step 4: Simplify right side
   152,142x = 55,935,088,036
5. Step 5: Solve for x
   x = 55,935,088,036/152,142
6. Step 6: Final answer
   x = 367,650.54