Finding the Third Proportional to 123,156 and 194,737.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,156 : 194,737.50 = 194,737.50 : x
2. Step 2: Convert to fraction form
   123,156/194,737.50 = 194,737.50/x
3. Step 3: Cross multiply
   123,156x = 194,737.50 × 194,737.50
4. Step 4: Simplify right side
   123,156x = 37,922,693,906.25
5. Step 5: Solve for x
   x = 37,922,693,906.25/123,156
6. Step 6: Final answer
   x = 307,924.05