Finding the Third Proportional to 90,888 and 194,147.50

Step by Step Solution

1. Step 1: Write the proportion equation
   90,888 : 194,147.50 = 194,147.50 : x
2. Step 2: Convert to fraction form
   90,888/194,147.50 = 194,147.50/x
3. Step 3: Cross multiply
   90,888x = 194,147.50 × 194,147.50
4. Step 4: Simplify right side
   90,888x = 37,693,251,756.25
5. Step 5: Solve for x
   x = 37,693,251,756.25/90,888
6. Step 6: Final answer
   x = 414,721.98