Finding the Third Proportional to 175,095 and 256,432.50

Step by Step Solution

1. Step 1: Write the proportion equation
   175,095 : 256,432.50 = 256,432.50 : x
2. Step 2: Convert to fraction form
   175,095/256,432.50 = 256,432.50/x
3. Step 3: Cross multiply
   175,095x = 256,432.50 × 256,432.50
4. Step 4: Simplify right side
   175,095x = 65,757,627,056.25
5. Step 5: Solve for x
   x = 65,757,627,056.25/175,095
6. Step 6: Final answer
   x = 375,554.00