Finding the Third Proportional to 78,975 and 186,432.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,975 : 186,432.50 = 186,432.50 : x
2. Step 2: Convert to fraction form
   78,975/186,432.50 = 186,432.50/x
3. Step 3: Cross multiply
   78,975x = 186,432.50 × 186,432.50
4. Step 4: Simplify right side
   78,975x = 34,757,077,056.25
5. Step 5: Solve for x
   x = 34,757,077,056.25/78,975
6. Step 6: Final answer
   x = 440,102.27