Finding the Third Proportional to 102,327 and 208,813.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,327 : 208,813.50 = 208,813.50 : x
2. Step 2: Convert to fraction form
   102,327/208,813.50 = 208,813.50/x
3. Step 3: Cross multiply
   102,327x = 208,813.50 × 208,813.50
4. Step 4: Simplify right side
   102,327x = 43,603,077,782.25
5. Step 5: Solve for x
   x = 43,603,077,782.25/102,327
6. Step 6: Final answer
   x = 426,115.08