Finding the Third Proportional to 81,136 and 109,200

Step by Step Solution

1. Step 1: Write the proportion equation
   81,136 : 109,200 = 109,200 : x
2. Step 2: Convert to fraction form
   81,136/109,200 = 109,200/x
3. Step 3: Cross multiply
   81,136x = 109,200 × 109,200
4. Step 4: Simplify right side
   81,136x = 11,924,640,000
5. Step 5: Solve for x
   x = 11,924,640,000/81,136
6. Step 6: Final answer
   x = 146,971.01