Finding the Third Proportional to 83,763 and 131,111

Step by Step Solution

1. Step 1: Write the proportion equation
   83,763 : 131,111 = 131,111 : x
2. Step 2: Convert to fraction form
   83,763/131,111 = 131,111/x
3. Step 3: Cross multiply
   83,763x = 131,111 × 131,111
4. Step 4: Simplify right side
   83,763x = 17,190,094,321
5. Step 5: Solve for x
   x = 17,190,094,321/83,763
6. Step 6: Final answer
   x = 205,223.00