Finding the Third Proportional to 152,034 and 235,432.50

Step by Step Solution

1. Step 1: Write the proportion equation
   152,034 : 235,432.50 = 235,432.50 : x
2. Step 2: Convert to fraction form
   152,034/235,432.50 = 235,432.50/x
3. Step 3: Cross multiply
   152,034x = 235,432.50 × 235,432.50
4. Step 4: Simplify right side
   152,034x = 55,428,462,056.25
5. Step 5: Solve for x
   x = 55,428,462,056.25/152,034
6. Step 6: Final answer
   x = 364,579.38