Finding the Third Proportional to 93,865 and 194,384.50

Step by Step Solution

1. Step 1: Write the proportion equation
   93,865 : 194,384.50 = 194,384.50 : x
2. Step 2: Convert to fraction form
   93,865/194,384.50 = 194,384.50/x
3. Step 3: Cross multiply
   93,865x = 194,384.50 × 194,384.50
4. Step 4: Simplify right side
   93,865x = 37,785,333,840.25
5. Step 5: Solve for x
   x = 37,785,333,840.25/93,865
6. Step 6: Final answer
   x = 402,549.77