Finding the Third Proportional to 89,460 and 137,056.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,460 : 137,056.50 = 137,056.50 : x
2. Step 2: Convert to fraction form
   89,460/137,056.50 = 137,056.50/x
3. Step 3: Cross multiply
   89,460x = 137,056.50 × 137,056.50
4. Step 4: Simplify right side
   89,460x = 18,784,484,192.25
5. Step 5: Solve for x
   x = 18,784,484,192.25/89,460
6. Step 6: Final answer
   x = 209,976.35