Finding the Third Proportional to 152,978 and 335,506

Step by Step Solution

1. Step 1: Write the proportion equation
   152,978 : 335,506 = 335,506 : x
2. Step 2: Convert to fraction form
   152,978/335,506 = 335,506/x
3. Step 3: Cross multiply
   152,978x = 335,506 × 335,506
4. Step 4: Simplify right side
   152,978x = 112,564,276,036
5. Step 5: Solve for x
   x = 112,564,276,036/152,978
6. Step 6: Final answer
   x = 735,820.03