Finding the Third Proportional to 89,700 and 138,802.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,700 : 138,802.50 = 138,802.50 : x
2. Step 2: Convert to fraction form
   89,700/138,802.50 = 138,802.50/x
3. Step 3: Cross multiply
   89,700x = 138,802.50 × 138,802.50
4. Step 4: Simplify right side
   89,700x = 19,266,134,006.25
5. Step 5: Solve for x
   x = 19,266,134,006.25/89,700
6. Step 6: Final answer
   x = 214,784.10