Finding the Third Proportional to 135,927 and 206,887.50

Step by Step Solution

1. Step 1: Write the proportion equation
   135,927 : 206,887.50 = 206,887.50 : x
2. Step 2: Convert to fraction form
   135,927/206,887.50 = 206,887.50/x
3. Step 3: Cross multiply
   135,927x = 206,887.50 × 206,887.50
4. Step 4: Simplify right side
   135,927x = 42,802,437,656.25
5. Step 5: Solve for x
   x = 42,802,437,656.25/135,927
6. Step 6: Final answer
   x = 314,892.83