Finding the Third Proportional to 89,813.81 and 138,092.34

Step by Step Solution

1. Step 1: Write the proportion equation
   89,813.81 : 138,092.34 = 138,092.34 : x
2. Step 2: Convert to fraction form
   89,813.81/138,092.34 = 138,092.34/x
3. Step 3: Cross multiply
   89,813.81x = 138,092.34 × 138,092.34
4. Step 4: Simplify right side
   89,813.81x = 19,069,495,402.37
5. Step 5: Solve for x
   x = 19,069,495,402.37/89,813.81
6. Step 6: Final answer
   x = 212,322.52