Finding the Third Proportional to 93,834 and 137,468.25

Step by Step Solution

1. Step 1: Write the proportion equation
   93,834 : 137,468.25 = 137,468.25 : x
2. Step 2: Convert to fraction form
   93,834/137,468.25 = 137,468.25/x
3. Step 3: Cross multiply
   93,834x = 137,468.25 × 137,468.25
4. Step 4: Simplify right side
   93,834x = 18,897,519,758.06
5. Step 5: Solve for x
   x = 18,897,519,758.06/93,834
6. Step 6: Final answer
   x = 201,393.10