Finding the Third Proportional to 92,004 and 137,032.50

Step by Step Solution

1. Step 1: Write the proportion equation
   92,004 : 137,032.50 = 137,032.50 : x
2. Step 2: Convert to fraction form
   92,004/137,032.50 = 137,032.50/x
3. Step 3: Cross multiply
   92,004x = 137,032.50 × 137,032.50
4. Step 4: Simplify right side
   92,004x = 18,777,906,056.25
5. Step 5: Solve for x
   x = 18,777,906,056.25/92,004
6. Step 6: Final answer
   x = 204,098.80