Finding the Third Proportional to 152,020 and 235,410

Step by Step Solution

1. Step 1: Write the proportion equation
   152,020 : 235,410 = 235,410 : x
2. Step 2: Convert to fraction form
   152,020/235,410 = 235,410/x
3. Step 3: Cross multiply
   152,020x = 235,410 × 235,410
4. Step 4: Simplify right side
   152,020x = 55,417,868,100
5. Step 5: Solve for x
   x = 55,417,868,100/152,020
6. Step 6: Final answer
   x = 364,543.27