Finding the Third Proportional to 37,940,096 and 83,254,264

Step by Step Solution

1. Step 1: Write the proportion equation
   37,940,096 : 83,254,264 = 83,254,264 : x
2. Step 2: Convert to fraction form
   37,940,096/83,254,264 = 83,254,264/x
3. Step 3: Cross multiply
   37,940,096x = 83,254,264 × 83,254,264
4. Step 4: Simplify right side
   37,940,096x = 6,931,272,474,181,696
5. Step 5: Solve for x
   x = 6,931,272,474,181,696/37,940,096
6. Step 6: Final answer
   x = 182,689,903.43