Finding the Third Proportional to 90,193.50 and 153,967.50

Step by Step Solution

1. Step 1: Write the proportion equation
   90,193.50 : 153,967.50 = 153,967.50 : x
2. Step 2: Convert to fraction form
   90,193.50/153,967.50 = 153,967.50/x
3. Step 3: Cross multiply
   90,193.50x = 153,967.50 × 153,967.50
4. Step 4: Simplify right side
   90,193.50x = 23,705,991,056.25
5. Step 5: Solve for x
   x = 23,705,991,056.25/90,193.50
6. Step 6: Final answer
   x = 262,834.81