Finding the Third Proportional to 341,665,378 and 510,259,160

Step by Step Solution

1. Step 1: Write the proportion equation
   341,665,378 : 510,259,160 = 510,259,160 : x
2. Step 2: Convert to fraction form
   341,665,378/510,259,160 = 510,259,160/x
3. Step 3: Cross multiply
   341,665,378x = 510,259,160 × 510,259,160
4. Step 4: Simplify right side
   341,665,378x = 260,364,410,363,905,600
5. Step 5: Solve for x
   x = 260,364,410,363,905,600/341,665,378
6. Step 6: Final answer
   x = 762,045,050.89