Finding the Third Proportional to 77,308 and 164,092

Step by Step Solution

1. Step 1: Write the proportion equation
   77,308 : 164,092 = 164,092 : x
2. Step 2: Convert to fraction form
   77,308/164,092 = 164,092/x
3. Step 3: Cross multiply
   77,308x = 164,092 × 164,092
4. Step 4: Simplify right side
   77,308x = 26,926,184,464
5. Step 5: Solve for x
   x = 26,926,184,464/77,308
6. Step 6: Final answer
   x = 348,297.52