Finding the Third Proportional to 78,464 and 118,432.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,464 : 118,432.50 = 118,432.50 : x
2. Step 2: Convert to fraction form
   78,464/118,432.50 = 118,432.50/x
3. Step 3: Cross multiply
   78,464x = 118,432.50 × 118,432.50
4. Step 4: Simplify right side
   78,464x = 14,026,257,056.25
5. Step 5: Solve for x
   x = 14,026,257,056.25/78,464
6. Step 6: Final answer
   x = 178,760.41