Finding the Third Proportional to 82,111,266 and 114,796,386

Step by Step Solution

1. Step 1: Write the proportion equation
   82,111,266 : 114,796,386 = 114,796,386 : x
2. Step 2: Convert to fraction form
   82,111,266/114,796,386 = 114,796,386/x
3. Step 3: Cross multiply
   82,111,266x = 114,796,386 × 114,796,386
4. Step 4: Simplify right side
   82,111,266x = 13,178,210,238,660,996
5. Step 5: Solve for x
   x = 13,178,210,238,660,996/82,111,266
6. Step 6: Final answer
   x = 160,492,108.83