Finding the Third Proportional to 130,784 and 185,111

Step by Step Solution

1. Step 1: Write the proportion equation
   130,784 : 185,111 = 185,111 : x
2. Step 2: Convert to fraction form
   130,784/185,111 = 185,111/x
3. Step 3: Cross multiply
   130,784x = 185,111 × 185,111
4. Step 4: Simplify right side
   130,784x = 34,266,082,321
5. Step 5: Solve for x
   x = 34,266,082,321/130,784
6. Step 6: Final answer
   x = 262,005.16