Finding the Third Proportional to 78,783.50 and 118,232.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,783.50 : 118,232.50 = 118,232.50 : x
2. Step 2: Convert to fraction form
   78,783.50/118,232.50 = 118,232.50/x
3. Step 3: Cross multiply
   78,783.50x = 118,232.50 × 118,232.50
4. Step 4: Simplify right side
   78,783.50x = 13,978,924,056.25
5. Step 5: Solve for x
   x = 13,978,924,056.25/78,783.50
6. Step 6: Final answer
   x = 177,434.67