Finding the Third Proportional to 65,784.50 and 142,092

Step by Step Solution

1. Step 1: Write the proportion equation
   65,784.50 : 142,092 = 142,092 : x
2. Step 2: Convert to fraction form
   65,784.50/142,092 = 142,092/x
3. Step 3: Cross multiply
   65,784.50x = 142,092 × 142,092
4. Step 4: Simplify right side
   65,784.50x = 20,190,136,464
5. Step 5: Solve for x
   x = 20,190,136,464/65,784.50
6. Step 6: Final answer
   x = 306,913.28