Finding the Third Proportional to 52,692 and 93,688.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,692 : 93,688.50 = 93,688.50 : x
2. Step 2: Convert to fraction form
   52,692/93,688.50 = 93,688.50/x
3. Step 3: Cross multiply
   52,692x = 93,688.50 × 93,688.50
4. Step 4: Simplify right side
   52,692x = 8,777,535,032.25
5. Step 5: Solve for x
   x = 8,777,535,032.25/52,692
6. Step 6: Final answer
   x = 166,581.93