Finding the Third Proportional to 152,376 and 232,431.75

Step by Step Solution

1. Step 1: Write the proportion equation
   152,376 : 232,431.75 = 232,431.75 : x
2. Step 2: Convert to fraction form
   152,376/232,431.75 = 232,431.75/x
3. Step 3: Cross multiply
   152,376x = 232,431.75 × 232,431.75
4. Step 4: Simplify right side
   152,376x = 54,024,518,408.06
5. Step 5: Solve for x
   x = 54,024,518,408.06/152,376
6. Step 6: Final answer
   x = 354,547.42