Finding the Third Proportional to 152,948 and 359,848

Step by Step Solution

1. Step 1: Write the proportion equation
   152,948 : 359,848 = 359,848 : x
2. Step 2: Convert to fraction form
   152,948/359,848 = 359,848/x
3. Step 3: Cross multiply
   152,948x = 359,848 × 359,848
4. Step 4: Simplify right side
   152,948x = 129,490,583,104
5. Step 5: Solve for x
   x = 129,490,583,104/152,948
6. Step 6: Final answer
   x = 846,631.42