Finding the Third Proportional to 233,280 and 316,543.50

Step by Step Solution

1. Step 1: Write the proportion equation
   233,280 : 316,543.50 = 316,543.50 : x
2. Step 2: Convert to fraction form
   233,280/316,543.50 = 316,543.50/x
3. Step 3: Cross multiply
   233,280x = 316,543.50 × 316,543.50
4. Step 4: Simplify right side
   233,280x = 100,199,787,392.25
5. Step 5: Solve for x
   x = 100,199,787,392.25/233,280
6. Step 6: Final answer
   x = 429,525.84