Finding the Third Proportional to 83,941.31 and 194,931.56

Step by Step Solution

1. Step 1: Write the proportion equation
   83,941.31 : 194,931.56 = 194,931.56 : x
2. Step 2: Convert to fraction form
   83,941.31/194,931.56 = 194,931.56/x
3. Step 3: Cross multiply
   83,941.31x = 194,931.56 × 194,931.56
4. Step 4: Simplify right side
   83,941.31x = 37,998,314,058.69
5. Step 5: Solve for x
   x = 37,998,314,058.69/83,941.31
6. Step 6: Final answer
   x = 452,677.15