Finding the Third Proportional to 133,977 and 202,693.50

Step by Step Solution

1. Step 1: Write the proportion equation
   133,977 : 202,693.50 = 202,693.50 : x
2. Step 2: Convert to fraction form
   133,977/202,693.50 = 202,693.50/x
3. Step 3: Cross multiply
   133,977x = 202,693.50 × 202,693.50
4. Step 4: Simplify right side
   133,977x = 41,084,654,942.25
5. Step 5: Solve for x
   x = 41,084,654,942.25/133,977
6. Step 6: Final answer
   x = 306,654.54