Finding the Third Proportional to 94,364 and 137,654

Step by Step Solution

1. Step 1: Write the proportion equation
   94,364 : 137,654 = 137,654 : x
2. Step 2: Convert to fraction form
   94,364/137,654 = 137,654/x
3. Step 3: Cross multiply
   94,364x = 137,654 × 137,654
4. Step 4: Simplify right side
   94,364x = 18,948,623,716
5. Step 5: Solve for x
   x = 18,948,623,716/94,364
6. Step 6: Final answer
   x = 200,803.52