Finding the Third Proportional to 133,335 and 194,737.50

Step by Step Solution

1. Step 1: Write the proportion equation
   133,335 : 194,737.50 = 194,737.50 : x
2. Step 2: Convert to fraction form
   133,335/194,737.50 = 194,737.50/x
3. Step 3: Cross multiply
   133,335x = 194,737.50 × 194,737.50
4. Step 4: Simplify right side
   133,335x = 37,922,693,906.25
5. Step 5: Solve for x
   x = 37,922,693,906.25/133,335
6. Step 6: Final answer
   x = 284,416.65